On Network Interference Management

We study two building-block models of interference-limited wireless networks, motivated by the problem of joint Peer-to-Peer and Wide Area Network design. In the first case, a single "long-range" transmitter interferes with multiple parallel "short-range" transmissions, and, in the second case, multiple short-range transmitters interfere with a single long-range receiver. We identify the maximal degree-of-freedom region of the former network and show that multilevel superposition coding by the long-range transmitter performs optimally. Moreover, a simple power control strategy, performed by the long-range transmitter, achieves a region that is within one bit of the capacity region, under certain channel conditions. For the latter network, we show that short-range transmitter power control is degree-of-freedom optimal under those same conditions.